What is the Least Common Multiple of 39358 and 39377?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 39358 and 39377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39358 and 39377, than apply into the LCM equation.

GCF(39358,39377) = 1
LCM(39358,39377) = ( 39358 × 39377) / 1
LCM(39358,39377) = 1549799966 / 1
LCM(39358,39377) = 1549799966

Least Common Multiple (LCM) of 39358 and 39377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39358 and 39377. First we will calculate the prime factors of 39358 and 39377.

Prime Factorization of 39358

Prime Factorization of 39377

Now multiplying the highest exponent prime factors to calculate the LCM of 39358 and 39377.

LCM(39358,39377) = 2¹ × 11¹ × 1789¹ × 13² × 233¹
LCM(39358,39377) = 1549799966